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What is the Least Common Multiple of 7326 and 7345?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 7326 and 7345 is 53809470.

LCM(7326,7345) = 53809470

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Least Common Multiple of 7326 and 7345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7326 and 7345, than apply into the LCM equation.

GCF(7326,7345) = 1
LCM(7326,7345) = ( 7326 × 7345) / 1
LCM(7326,7345) = 53809470 / 1
LCM(7326,7345) = 53809470

Least Common Multiple (LCM) of 7326 and 7345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7326 and 7345. First we will calculate the prime factors of 7326 and 7345.

Prime Factorization of 7326

Prime factors of 7326 are 2, 3, 11, 37. Prime factorization of 7326 in exponential form is:

7326 = 21 × 32 × 111 × 371

Prime Factorization of 7345

Prime factors of 7345 are 5, 13, 113. Prime factorization of 7345 in exponential form is:

7345 = 51 × 131 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 7326 and 7345.

LCM(7326,7345) = 21 × 32 × 111 × 371 × 51 × 131 × 1131
LCM(7326,7345) = 53809470